Question

Найти производную функции:
y = ㏑(x +√x²+1)

Решите плиз

Answer 1

$y'=dfrac{1}{x+sqrt{x^2+1}} cdot (1+dfrac{2x}{2sqrt{x^2+1}}) = dfrac{1}{x+sqrt{x^2+1}} cdot (1+dfrac{x}{sqrt{x^2+1}}) = \ =dfrac{1}{x+sqrt{x^2+1}} cdot dfrac{x+sqrt{x^2+1}}{sqrt{x^2+1}} =dfrac{1}{sqrt{x^2+1}}$